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Article Number - CDBF74165273


Vol.9(3), pp. 25-33 , July 2017
DOI: 10.5897/JMER2017.0468
ISSN: 2141-2383



Full Length Research Paper

Synthesis of hyperboloid gear drives: Controlling of the singularity on the active tooth surfaces



Emilia Abadjieva
  • Emilia Abadjieva
  • Faculty of Engineering Science, Graduate School of Engineering, Akita University, Akita, Japan.
  • Google Scholar
Valentin Abadjiev
  • Valentin Abadjiev
  • Institute of Mechanics, Bulgarian Academy of Sciences, Bulgaria.
  • Google Scholar







 Received: 14 June 2017  Accepted: 10 July 2017  Published: 31 July 2017

Copyright © 2017 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0


The study illustrates the mathematical model, applied to the synthesis of hyperboloid gear drives with taking into account the singularity appearance on the contacting active tooth surfaces. A kinematic approach for registration of the singularity on the tooth surfaces of the synthesized spatial transmissions is shown. The analytical dependencies applicable for defining and controlling of the singularities on the conjugates active surfaces are illustrated.

Key words: Hyperboloid gear drives, kinematic synthesis, mathematical modeling, region of mesh, singularity.

Abadjiev V (2007). Gearing theory and technical applications of hyperboloid mechanisms, Sc. D. Thesis, Institute of Mechanics, Bulgarian Academy of Sciences, Sofia, (in Bulgarian).

 

Abadjiev V, Abadjieva E (2016a). One approach to the synthesis, design and manufacture of hyperboloid gear sets with face mating gears. Part 1. Basic theoretical and CAD Experience. J. Theor. Appl. Mech. Sofia 46(2):3-26.
Crossref

 
 

Abadjiev V, Abadjieva E (2016b). One approach to the synthesis, design and manufacture of hyperboloid gear sets with face mating gears. Part 2. Review of practical realization. J. Theor. Appl. Mech. Sofia 46(3):3-16.
Crossref

 
 

Lagutin S (2000). Envelope singularities and tooth undercutting in rack and worm gearing. Proc. International Conference "Gearing, Transmissions and Mechanical Systems", Professional Engineering Publishing Ltd, UK pp. 99-108.

 
 

Litvin F, Erihov M (1970). Vector field of the normals at the ordinary contact nodes of the enveloping surface, Theory of transmissions in machines, Collection of articles, edited by Prof. F. Litvin, Editing House "Mashinostroenie", Moscow, in Russian pp. 27-38.

 
 

Litvin F (1968). Theory of gearing. Publishing house "Nauka" Moscow (in Russian).

 
 

Litvin F (1989).Theory of gearing. NASA Reference Publication 1212, AVSCOM Technical Report 88-C-035, US Government Printing Office, Washington.

 
 

Litvin F (1994). Gearing geometry and applied theory. PTR Prentice Hall, A Paramount Communication Company, Englewood Cliffs, New Jersey 07632.

 
 

Nelson W (1961). Spiroid gearing. Part 1 – Basic design practices. J. Machine Design pp. 136-144.

 

 


APA Abadjieva, E., & Abadjiev, V. (2017). Synthesis of hyperboloid gear drives: Controlling of the singularity on the active tooth surfaces. Journal of Mechanical Engineering Research, 9(3), 25-33.
Chicago Emilia Abadjieva, and Valentin Abadjiev. "Synthesis of hyperboloid gear drives: Controlling of the singularity on the active tooth surfaces." Journal of Mechanical Engineering Research 9, no. 3 (2017): 25-33.
MLA Emilia Abadjieva, and Valentin Abadjiev. "Synthesis of hyperboloid gear drives: Controlling of the singularity on the active tooth surfaces." Journal of Mechanical Engineering Research 9.3 (2017): 25-33.
   
DOI 10.5897/JMER2017.0468
URL http://www.academicjournals.org/journal/JMER/article-abstract/CDBF74165273

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